Strongly Correlated Electrons Driven by an Electric Field
Camille Aron, Rutgers University
Strongly correlated many-body systems driven out of equilibrium are attracting a lot of interest, motivated by new experimental realizations in non-linear transport in devices, heterostructures and cold atoms. Theoretically, the challenge is to understand the interplay between the strong correlation and the finite drive. In this talk, I will focus on the Hubbard model driven by a constant electric field. First, I will introduce some theoretical tools to address the non-equilibrium steady states, bypassing the transient dynamics. At the dynamical mean-field level, I will describe how the lattice problem can be self-consistently mapped to a multi-lead Anderson impurity model. Afterwards, I will discuss the fate of Mott physics in the non-linear regime by detailing two key far-from-equilibrium phenomena:
– the dimensional crossover towards a lower dimensional equilibrium system;
– the dielectric breakdown of the Mott insulator.
References:
C. Aron, G. Kotliar, C. Weber, PRL 108, 086401 (2012)
C. Aron, PRB 86, 085127 (2012)
C. Aon, C. Weber, G. Kotliar, arXiv:1210.4926 (2012)